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Automatic Differentiation from Scratch: How PyTorch Computes Gradients in Physics-Informed Neural Networks

arXiv cs.LG · 2026-07-16 Cached

This paper traces step-by-step how PyTorch's automatic differentiation engine computes gradients for Physics-Informed Neural Network training, including the two levels of differentiation needed for physics residuals and parameter gradients, using a simple MLP and ODE example.

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